Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras

Youjun Tan; Senrong Xu

Czechoslovak Mathematical Journal (2022)

  • Volume: 72, Issue: 2, page 559-591
  • ISSN: 0011-4642

Abstract

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We introduce the notion of quasi-trace functions on Lie algebras. As applications we study realizations of 3-dimensional and 4-dimensional 3-Lie algebras. Some comparison results on cohomologies of 3-Lie algebras and Leibniz algebras arising from quasi-trace functions are obtained.

How to cite

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Tan, Youjun, and Xu, Senrong. "Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras." Czechoslovak Mathematical Journal 72.2 (2022): 559-591. <http://eudml.org/doc/298303>.

@article{Tan2022,
abstract = {We introduce the notion of quasi-trace functions on Lie algebras. As applications we study realizations of 3-dimensional and 4-dimensional 3-Lie algebras. Some comparison results on cohomologies of 3-Lie algebras and Leibniz algebras arising from quasi-trace functions are obtained.},
author = {Tan, Youjun, Xu, Senrong},
journal = {Czechoslovak Mathematical Journal},
keywords = {quasi-trace function; 3-Lie algebra; Leibniz algebra},
language = {eng},
number = {2},
pages = {559-591},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras},
url = {http://eudml.org/doc/298303},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Tan, Youjun
AU - Xu, Senrong
TI - Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 2
SP - 559
EP - 591
AB - We introduce the notion of quasi-trace functions on Lie algebras. As applications we study realizations of 3-dimensional and 4-dimensional 3-Lie algebras. Some comparison results on cohomologies of 3-Lie algebras and Leibniz algebras arising from quasi-trace functions are obtained.
LA - eng
KW - quasi-trace function; 3-Lie algebra; Leibniz algebra
UR - http://eudml.org/doc/298303
ER -

References

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